Continuity and Differentiability | CET & JEE Competitive Exams | MATHEMATICS | Part 4 of 5

Take your understanding of Continuity and Differentiability to the next level by exploring their real-world applications. In this session, Babu Sir covers how derivatives are used to solve practical problems, from optimization to motion-related questions.

These applications are crucial for CET and JEE Mains, where such problems often appear. Learn how to apply these concepts effectively and solve complex calculus problems with confidence.

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Timestamps:
00:00 - Intro
01:11 - If 𝑦 = (log 𝑥)², then 𝑑𝑦/𝑑𝑥 at 𝑥 = 𝑒 is equal to
(MTG - EXERSICE 5.2 - QUES 87 - PAGE 109)
04:46 - If 𝑦 = log tan (𝜋/4+𝑥/2), then 𝑑𝑦/𝑑𝑥 =
(MTG - EXERSICE 5.2 - QUES 88 - PAGE 109)
08:38 - If log10 (𝑥²−𝑦²/𝑥²+𝑦²) = 2, then 𝑑𝑦/𝑑𝑥 =
(MTG - EXERSICE 5.2 - QUES 91 - PAGE 110)
10:43 - If 𝑦 = 𝑒^𝑚𝑠𝑖𝑛−1𝑥 and (1 − 𝑥²) (𝑑𝑦/𝑑𝑥)² = 𝐴𝑦², then 𝐴 =
(MTG - EXERSICE 5.2 - QUES 92 - PAGE 110)
12:41 - If 𝑓(𝑥) = log5 log3 𝑥, then 𝑓′ (𝑒) is equal to
(MTG - EXERSICE 5.2 - QUES 94 - PAGE 110)
14:35 - If 𝑦ˣ = 2ˣ, then 𝑑𝑦/𝑑𝑥 is equal to
(MTG - EXERSICE 5.2 - QUES 99 - PAGE 110)
16:14 - Find 𝑑𝑦/𝑑𝑥 when 𝑦 = 𝑥ˣ.
(MTG - EXERSICE 5.2 - QUES 102 - PAGE 110)
19:40 - If 𝑥ʸ𝑦ʸ 𝑥 = 16, then 𝑑𝑦/𝑑𝑥 at (2,2) is
(MTG - EXERSICE 5.2 - QUES 100 - PAGE 110)
21:19 - Differentiate (2𝑥 + 3)ˣ-⁵ w.r.t. 𝑥.
(MTG - EXERSICE 5.2 - QUES 64 - PAGE 110)
23:15 - For constant 𝑎,,𝑑/𝑑𝑥 (𝑥ˣ + 𝑥ᵃ+ 𝑎ˣ+ 𝑎ᵃ) is
(MTG - PYQ{2014-2023} - QUES 36 - PAGE 119)

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